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A boy is riding a bicycle beside a railway track. A 245 m long goods train is coming towards the boy at a speed of 60 km/hr. If the train crossed the boy in 14 seconds, find the speed at which the boy is riding his bicycle?

A boy is riding a bicycle beside a railway track. A 245 m long goods train is coming towards the boy at a speed of 60 km/hr. If the train crossed the boy in 14 seconds, find the speed at which the boy is riding his bicycle? Correct Answer 3 km/hr

Let the speed at which the boy is riding his bicycle be ‘x’ km/hr.

∵ The train is coming towards the boy, it means that the train and the boy are moving in opposite directions

As we know, when two bodies are moving in opposite directions, their relative speed is the sum of their individual speeds

⇒ Relative speed = (x + 60) km/hr. = (x + 60) × 5/18 m/sec.

Now,

Time taken by train to cross the boy = Length of train/Relative speed

⇒ 14 = 245/

⇒ x = 3 

∴ The boy is riding his bicycle at a speed of 3 km/hr.

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